$M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points

From MaRDI portal
Publication:3469390

DOI10.1137/0520048zbMath0694.34013OpenAlexW2004748520MaRDI QIDQ3469390

Allan M. Krall

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520048




Related Items (40)

Principal Solutions RevisitedSelf‐adjoint extensions for singular linear Hamiltonian systemsWeyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac OperatorsRenormalized oscillation theory for singular linear Hamiltonian systemsStability of deficiency indices for discrete Hamiltonian systems under bounded perturbationsThe Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systemsRenormalized oscillation theory for Hamiltonian systemsOn Weyl-Titchmarsh theory for singular finite difference Hamiltonian systemsDirect decomposition of m(λ) matrices for hamiltonian systemsSpectral properties of singular discrete linear Hamiltonian systemsOn a Weyl-Titchmarsh theory for discrete symplectic systems on a half lineSpectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functionsFriedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectraThe local Borg–Marchenko uniqueness theorem of matrix‐valued Dirac‐type operators for coefficients locally smooth at the right endpointDependence of eigenvalues of Dirac system on the parametersSingular Hahn - Hamiltonian systemsInvestigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrixDefect indices and definiteness conditions for a class of discrete linear Hamiltonian systemsThe symmetry of singular Hamiltonian differenial operators and properties of deficiency indicesA new Hamiltonian systemA limit-point criterion for linear hamiltonian systemsSelf-adjoint extensions for discrete linear Hamiltonian systemsSpectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operatorsOn essential spectra of singular linear Hamiltonian systemsRelatively bounded and relatively compact perturbations for limit circle Hamiltonian systemsDeficiency indices and spectrum of fourth order difference equations with unbounded coefficientsWeyl-Titchmarsh theory for Hamiltonian dynamic systemsWeyl-Titchmarsh theory for time scale symplectic systems on half lineOn characteristic matrices and eigenfunction expansions of two singular point symmetric systemsSufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficientsWeyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameterWeyl--Titchmarsh theory for a class of discrete linear Hamiltonian systemsSelf-adjoint extensions for linear Hamiltonian systems with two singular endpointsRegular approximation of linear Hamiltonian operators with two singular endpoints\(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systemsOn couplings of symmetric operators with possibly unequal and infinite deficiency indicesClassification of Sturm–Liouville differential equations with complex coefficients and operator realizationsSpectral analysis of the Direct Sum Hamiltonian OperatorsInvariance of deficiency indices under perturbation for discrete Hamiltonian systemsAbsolutely continuous spectrum of fourth order difference equations




This page was built for publication: $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points